The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  8  8  1  1  1  1  1  0  2  1  1 12  1  2  2  4  1  1
 0  2  0  6  4  6 12  2  8  0  6  6 14  2  2  4 10 10 12 10  2  6  4 12  2  6  4 14  0  0 12
 0  0 12  0  4  0  0  0  8  4  4 12  8  0 12  4  4 12  4  0 12  4  4  8  8 12  8  0 12  0  0
 0  0  0 12  0  0  8 12 12 12 12  8 12  4  8  0  0  4  4  8 12  4  8 12  8  0  4  4  0 12  0
 0  0  0  0  8  0  8  8  0  0  8  0  8  0  0  0  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  0  8  8  0  8  0  8  0  8  8  8  0  0  0  0  8  0

generates a code of length 31 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+52x^25+160x^26+278x^27+544x^28+838x^29+1368x^30+1782x^31+1328x^32+846x^33+546x^34+226x^35+103x^36+50x^37+36x^38+18x^39+7x^40+6x^41+2x^42+1x^44

The gray image is a code over GF(2) with n=248, k=13 and d=100.
This code was found by Heurico 1.16 in 0.624 seconds.